4. It is important to remember that the isentropic relations and normal shock relations are monotonic with Mach number and can be inverted. To illustrate this, consider the following problems, (c) If the temperature jumps from 0 Celsius ahead of a shock to 200 Celsius behind a shock, what is the shock Mach number? (d) If the velocity behind a Mach 5 shock wave is 200 m/s, what is the upstream velocity?

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4. It is important to remember that the isentropic relations and normal shock relations
are monotonic with Mach number and can be inverted. To illustrate this, consider the
following problems,

(c) If the temperature jumps from 0 Celsius ahead of a shock to 200 Celsius behind
a shock, what is the shock Mach number?
(d) If the velocity behind a Mach 5 shock wave is 200 m/s, what is the upstream
velocity?

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